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Logic and Conditional Statements

Mathematics Enhanced Scope and Sequen ce Geo metry Vi rgi nia Department of Educati on 2011 1 Logic and Conditional Statements Reporting Category Reasoning, Lines, and Transformations Topic Investigating symbolic form while worki ng with Conditional Statements Primary SOL The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include a) identifying the converse, inverse, and contrapositive of a Conditional statement; b) translating a short verbal argument into symbolic form; c) using Venn diagrams to represent set relationships; and d) using deductive reasoning. Related SOL , Materials Activity Sheets 1, 2, and 3 (attached) Flash cards (attached) Logic and Conditional Statements handout (attached) Vocabulary intersection, union, Venn diagram (earlier grades) Conditional statement, hypothesis, conclusion, negation, negate, converse, inverse, contrapositive, biconditional, Law of the Contrapositive, Law of Detachm

d) using deductive reasoning. Related SOL G.2a, G.6 Materials Activity Sheets 1, 2, and 3 (attached) Flash cards (attached) Logic and Conditional Statements handout (attached) Vocabulary intersection, union, Venn diagram (earlier grades) conditional statement, hypothesis, conclusion, negation, negate, converse, inverse,

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